Solve tan215^circtan145^circ/tan305^circ+tan35=

$$\frac { \tan 215 ^ { \circ } \tan 145 ^ { \circ } } { \tan 305 ^ { \circ } + \tan 35 } =$$

Evaluate

$$\frac{6128632457071275868842691978423}{9099255856655061250000000000000}\approx 0.673531172$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.7002075382097092 \cdot -0.7002075382097102}{-1.4281480067421146 + 0.7002075382097097}$$

Multiply 0.7002075382097092 and -0.7002075382097102 to get -0.49029059656570206950741535827384.

$$\frac{-0.49029059656570206950741535827384}{-1.4281480067421146+0.7002075382097097}$$

Add -1.4281480067421146 and 0.7002075382097097 to get -0.7279404685324049.

$$\frac{-0.49029059656570206950741535827384}{-0.7279404685324049}$$

Expand \frac{-0.49029059656570206950741535827384}{-0.7279404685324049} by multiplying both numerator and the denominator by 100000000000000000000000000000000.

$$\frac{-49029059656570206950741535827384}{-72794046853240490000000000000000}$$

Reduce the fraction \frac{-49029059656570206950741535827384}{-72794046853240490000000000000000} to lowest terms by extracting and canceling out -8.

$$\frac{6128632457071275868842691978423}{9099255856655061250000000000000}$$

Factor

$$\frac{11 \cdot 19 \cdot 41 \cdot 16127 \cdot 12667271 \cdot 3501037691048551}{17 \cdot 5639 \cdot 75935498423 \cdot 2 ^ {13} \cdot 5 ^ {16}} = 0.673531171517601$$